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Finding the Fourth Proportional to 57,957.38, 79,982 and 37,802.69

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Solution

The fourth proportional to 57,957.38, 79,982 and 37,802.69 is: 52,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,957.38 : 79,982 = 37,802.69 : x
  2. Step 2: Convert to fraction form
    57,957.38/79,982 = 37,802.69/x
  3. Step 3: Cross multiply
    57,957.38x = 79,982 × 37,802.69
  4. Step 4: Simplify right side
    57,957.38x = 3,023,534,751.58
  5. Step 5: Solve for x
    x = 3,023,534,751.58/57,957.38
  6. Step 6: Final answer
    x = 52,168.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.